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So the number of ways N people can be arranged in a straight line if 2 particular people must be separated

Question

So the number of ways N people can be arranged in a straight line if 2 particular people must be separated

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Solution

To solve this problem, we can use the concept of permutations and combinations in probability.

Step 1: Consider the two people who must be separated as one entity. So, we now have (N-1) entities.

Step 2: These (N-1) entities can be arranged in (N-1)! ways.

Step 3: The two people who are considere

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